Q: What is the derivative of 1 divided by x to the third power?

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The first derivative of ln x is 1/x, which (for the following) you better write as x-1.Now use the power rule:Second derivative (the derivative of the first derivative) is -1x-2, the third derivative is the derivative of this, or 2x-3. You may now wish to write this in the alternative form, as 2 / x3.

25

The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.

2

1 divided by 25 multiplied by z to the third power

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The first derivative of ln x is 1/x, which (for the following) you better write as x-1.Now use the power rule:Second derivative (the derivative of the first derivative) is -1x-2, the third derivative is the derivative of this, or 2x-3. You may now wish to write this in the alternative form, as 2 / x3.

1

Write it as (1/3)x and take the derivative. You get (1/3)x0 = 1/3 * 1 = 1/3 ■

25

The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.

2

the derivative of 1x would be 1 the derivative of x to the power of 1 would be 1. the derivative of x+1 would be 1 the derivative of x-1 would be 1 im not sure what you are asking, but however you put it, it's 1.

2

It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))

x^0 = 1 for all x. The derivative of 1 is always zero.

0.3333

(1/2(x^-1/2))/x